How do you convert Kelvin to Fahrenheit?

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Answer 1 · 2016-12-18T03:02:10

Convert into Celsius first, then from Celsius into Fahrenheit.

Kelvin is a derivative temperature of Celsius, therefore you must convert into Celsius first, before converting into Fahrenheit.

To convert Kelvin into Celsius, you simply add 273.15.

E.g.

$T_"C" = T_"K" + 273.15$

$=-273.15K + 273.15$

$=0$

$-273.15 K$ is $0^o C$ .

To convert Celsius into Fahrenheit, you have to multiply the Celsius temperature with $9/5$ , then add $32$ .

E.g.

$T_"F" = T_"C"(9/5)+32$

$=0(9/5)+32$

$=0+32$

$=32$

$0^o C$ is $32^oF$ .

Hope this helps :)

Answer 2 · 2016-12-18T03:07:55

By combining two formulas.

$""^@ "F" = 9/5("K") - 459.67$

Normally, we consider $""^@ "C"$ going to $"K"$ or the other way around:

$""^@ "C" + 273.15 = "K"$

$""^@ "F" = 9/5(""^@ "C") + 32$

You could use both formulas to do the conversion, or you could substitute one into the other and derive a new formula.

Since $"K" - 273.15 = ""^@ "C"$ :

$""^@ "F" = 9/5("K" - 273.15) + 32$

With some simplification, we obtain the conversion formula from $"K"$ to $""^@ "F"$ :

$color(blue)(""^@ "F" = 9/5("K") - 459.67)$

Notice that this looks similar to the $""^@ "C" -> ""^@ "F"$ conversion.

This demonstrates that the Fahrenheit scale has different intervals in comparison to the Celsius and Kelvin scales.